Article ID Journal Published Year Pages File Type
783451 International Journal of Non-Linear Mechanics 2015 9 Pages PDF
Abstract

•Applying the group analysis method, mathematical modeling is given.•Complete group classification of a system of integro-differential equations is presented.•Invariant solutions of various models are obtained.

In this paper a recently developed approach of the group analysis method is applied to a system of integro-differential equations describing the stress relaxation behavior of one-dimensional viscoelastic materials. An admitted Lie group is defined by solving determining equations of the system. Using an optimal system of one-dimensional subalgebras, all invariant solutions are obtained.

Related Topics
Physical Sciences and Engineering Engineering Mechanical Engineering
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